Boozer taken outside somewhat put out (9)
I believe the answer is:
published
'out' is the definition.
(I've seen this before)
'boozer taken outside somewhat' is the wordplay.
'boozer' becomes 'pub' (UK slang).
'taken' becomes 'led' (to lead someone somewhere is to take them there).
'outside' means one lot of letters goes inside another (some letters go outside others).
'somewhat' becomes 'ish' (eg 'amateurish' means somewhat amateur).
'led' enclosing 'ish' is 'lished'.
'pub'+'lished'='PUBLISHED'
'put' acts as a link.
(Other definitions for published that I've seen before include "Out for all to see" , "available to readers?" , "Issued" .)